toSubring_injective — Mathlib

English

Copy of a LocalSubring with a new carrier equal to the old one; preserves locality.

Русский

Копия локального подпор Ring с новым носителем, равным старому; сохраняет локальность.

LaTeX

$$LocalSubring.copy(S, s, hs) is a LocalSubring R with the same structure as S and carrier equal to s, preserving locality.$$

Lean4

theorem toSubring_injective : Function.Injective (toSubring (R := R)) := by rintro ⟨a, b⟩ ⟨c, d⟩ rfl; rfl

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